In his essay Thinking Colours and/or Machines Kittler hints at a key point in the emergence of modern European culture: the point at which ‘letters and numbers no longer coincide’. In this essay - first published in 2003 as Zahl und Ziffer - Kittler traces the split between numerals and numbers in sweeping historical detail. This is part of a much larger project, the aim of which is to think about technology, history and culture anew by considering the ways in (...) which ‘letters, numbers, images and tones’ have been differentiated and re-integrated by developing notation systems and media technologies. In this present essay, Kittler is concerned specifically with the question of number. His argument is that numbers and numerals have not always stood apart. In Old Hebrew and even nursery rhymes, for example, numbers are in fact words. This might seem like a banal observation, but for Kittler it is crucial as historically, mathematics proper only developed ‘in cultures in which numbers are present as numerals’, a development which entailed the transformation of numbers from signifiers into signifieds and which rested on the emergence of storage and transmission media that Kittler calls ‘the media of mathematics’. This connection between media and mathematics is explored through a wide range of philosophical sources: Plato, Philolaus, Aristotle and Aquinas, to name but a few. Kittler is fascinated by the inscription technologies that make mathematics possible, and which at the same time structure cultural forms as well as our bodily experience of them. As he puts it in a programmatic aside, ‘media studies only make sense’ if they focus on how ‘media make senses.’ Hence his focus on the Greek phonetic alphabet: for Kittler, its superiority has less to do with its ability to reproduce the spoken words of any language, than with the fact that at one point it was used to handle language, music, and mathematics - that is, one and the same set of signs was used to encode letters, tones and numbers. This, however, was not an abstract undertaking but developed in constant feedback with specific instruments or media, especially the lyre and the bow. It was here that fundamental concepts such as logoi were first developed that were subsequently distorted, misunderstood and deprived of their musico-technical origins by philosophers such as Aristotle. Kittler’s essay is thus also part of a larger cultural project, indebted in particular to Martin Heidegger, whose aim it is to ferret out the different, as yet unrevealed beginning of occidental culture. Moreover, while it was necessary for the evolution of modern mathematics that numbers receive a notation system of their own that will allow for ratios and decimals, among others, it is obvious that Kittler sees the computer as a return of universal alphabet that operates in constant feedback with a medium that shapes our senses: ‘In the Greek alphabet our senses were present - and thanks to Turing they are so once again.’. (shrink)

The article is an attempt to subject a basic figure of historical analysis - the juxtaposition of event and series - to the changing alphanumerical writing systems of Ancient Greece, the Early Modern Age, and the contemporary digitial environment. It shows how the basic mathematical analysis of periodicity and frequency in the realm of sound is, first, a by-product of innovations in war technology and, second, radically changed by different ways in which numerical systems process data. With regard to the (...) development of Kittler’s thought the article is a somewhat idiosyncratic but nonetheless highly revealing and representative example of his recent switch from media-technological to more alphanumerically oriented analyses and the accompanying focus on the importance of Ancient Greece for the evolution of science. (shrink)

This article expands a traditional pedagogic interpretation of Plato’s reasons for urging trainee rulers to study astronomy. It argues, primarily, that they need to become familiar with astronomy because it teaches them about cosmic harmony. This harmony indeed models a “personal harmony,” which will prevent them from becoming tyrants, and informs them about the analogous social harmony— which it will be their special duty to create and maintain. In Plato’s view, indeed, astronomy shows that social harmony requires obedience on the (...) part of the lower orders and that social goods are best distributed in accordance with a special antidemocratic principle of equality. (shrink)

Prima facie, rule-consequentialism as a moral theory would correlate with the concerns of an omnibenevolent being should one exist. Indeed, such a being would be divine, and under the lenses of the three Abrahamic religions, would inter alia, also be omnipotent and omniscient. In this paper, I consider the attitude of such a being to rule-consequentialism in human society. I argue, from a probabilistic perspective, that the evidence of Abrahamic scripture confirms, to a degree, that God would judge rule-consequentialism to (...) be a sound moral theory in different societies. I also consider a similar argument from a secular perspective. (shrink)

In this paper, I argue that the different understandings of “harmony”, which are rooted in ancient Greek and Chinese thought, can be recapitulated in the name of “dialectic harmony” and “ambiguous harmony” regarding the representation of the beautiful. The different understandings of the concept of harmony lead to at least two kinds of aesthetic value as well as ideality – harmony in conciliation and harmony in diversity. Through an explication of the original meaning and relation between the concept of harmony (...) and beauty, we can learn more about the cosmo-metaphysical origins in Western and Eastern aesthetics, with which we may gain insights for future aesthetics discourse. (shrink)